Q: What are the prime factors of the number 152,015,504?

 A: 2, 19, 101, 4951

Why are those the prime factors of the number 152,015,504?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 152,015,504

152,015,504
Factor Arrows
276,007,752
Factor Arrows
238,003,876
Factor Arrows
219,001,938
Factor Arrows
29,500,969
Factor Arrows
19500,051
Factor Arrows
1014,951

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 19, 101, 4951

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 101 x 4,951 = 152,015,504

This can also be written as 24 x 191 x 1011 x 4,9511 = 152,015,504

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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